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To ensure that the triangular inequality of a distance measure is maintained, we use the Floyd-Warshall algorithm (all pair shortest paths algorithm) [ 44] to update the distance matrix.
Given two of them, one called Surface and the other Tool, the computation below was done in order to update the distance field of the Surface: (1) S u r f a c e = max (S u r f a c e, − T o o l ).
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Second stage is accomplished with a forward pass that scans the image from left to right and top to bottom and update the distances as follows: (2).
Both of these alternative update steps require updating the distance matrix (mathbf {A}), step Fig. 3c.
This might avoid stepping over the actual converging point and increasing the computational cost of cluster formulation through updating the distance matrix.
As for the matrix in Fig. 2b represent the distance matrix for the graph for calculation of the path where it updates the matrix with each loop as explained later in the algorithm section of this paper, after the updating the distance matrix the measures or the weights of distance in the graph are important indicators in the process of statistical analysis.
When forced to fly in a non-beeline, i.e. around large obstacles like mountains, honeybees employ a dead reckoning system which constantly updates the distance and direction to the hive.
These properties enable us to update the RF distance quickly after an SPR operation has been applied to one of the trees.
We update the used distances of each pair of players in the related link-prices from the current network rather than sticking with the initial grid distances.
Through updating the propagation distance in the dynamic model in each frame, the robustness and effectiveness were significantly improved during the tracking process.
The algorithm updates the propagation distance of each frame according to the ( overline{v_t^p} ) and ( overline{a_t^p} ), {B}_t^p=left[begin{array}{cc}{B}_t^x& 0 0& {B}_t^yend{array}right]=left[begin{array}{cc}{B}_t^L+{B}_t^R& 0 0& {B}_t^U+{B}_t^Dend{array}right] (21 while the affine transformation-related parameters ( {B}_t^a ) are all set to be one constant value.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com